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Finding the Third Proportional to 51,932 and 76,156

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Solution

The third proportional to 51,932 and 76,156 is: 111,679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,932 : 76,156 = 76,156 : x
  2. Step 2: Convert to fraction form
    51,932/76,156 = 76,156/x
  3. Step 3: Cross multiply
    51,932x = 76,156 × 76,156
  4. Step 4: Simplify right side
    51,932x = 5,799,736,336
  5. Step 5: Solve for x
    x = 5,799,736,336/51,932
  6. Step 6: Final answer
    x = 111,679.43

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.